GCD of 996, 722, 515, 360 Calculator

Given Input numbers are 996, 722, 515, 360

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 996, 722, 515, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 722, 515, 360 is 1.

Therefore, GCD of numbers 996, 722, 515, 360 is 1

Given Input Data is 996, 722, 515, 360

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 515 is 5 x 103

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(996, 722) = 359556

GCD(996, 722) = ( 996 x 722 ) / 359556

GCD(996, 722) = 719112 / 359556

GCD(996, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 515

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 515) = 1030

GCD(2, 515) = ( 2 x 515 ) / 1030

GCD(2, 515) = 1030 / 1030

GCD(2, 515) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 996, 722, 515, 360 is 1

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• GCD of 493, 384, 663, 276
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1. What is the GCD of 996, 722, 515, 360?

GCD of 996, 722, 515, 360 is 1

2. Where do I get the detailed procedure to find GCD of 996, 722, 515, 360?

You can find a detailed procedure to find GCD of 996, 722, 515, 360 on our page.

3. How to find GCD of 996, 722, 515, 360 on a calculator?

You can find the GCD of 996, 722, 515, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.